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Finding the Third Proportional to 74,426 and 107,391

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Solution

The third proportional to 74,426 and 107,391 is: 154,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,426 : 107,391 = 107,391 : x
  2. Step 2: Convert to fraction form
    74,426/107,391 = 107,391/x
  3. Step 3: Cross multiply
    74,426x = 107,391 × 107,391
  4. Step 4: Simplify right side
    74,426x = 11,532,826,881
  5. Step 5: Solve for x
    x = 11,532,826,881/74,426
  6. Step 6: Final answer
    x = 154,956.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.